Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov?Bohm effect

Ferkous, N.

doi:10.1016/s0375-9601(04)00412-8

Cited by 2 publications

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“…Bẑ is the applied magnetic field and A ! 2 describes the additional Aharonov-Bohm (AB) flux field U AB created by a solenoid in cylindrical coordinates (Bogachek and Landman, 1995;Ferkous and Bounames, 2004). The vector potential have the following azimuthal components (Ç etin, 2008)…”

Section: Relativistic Bound States Of the Ho In Constant External Fieldsmentioning

confidence: 99%

A charged spinless particle in scalar-vector harmonic oscillators with uniform magnetic and Aharonov-Bohm flux fields

Ikhdair

Falaye

2014

Journal of the Association of Arab Universities for Basic and A

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The two-dimensional solution of the spinless Klein-Gordon (KG) equation for scalarvector harmonic oscillator potentials with and without the presence of constant perpendicular magnetic and Aharonov-Bohm (AB) flux fields is studied within the asymptotic function analysis and Nikiforov-Uvarov (NU) method. The exact energy eigenvalues and normalized wave functions are analytically obtained in terms of potential parameters, magnetic field strength, AB flux field and magnetic quantum number. The results obtained by using different Larmor frequencies are compared with the results in the absence of both magnetic field (x L = 0) and AB flux field (n = 0) case. Effects of external fields on the non-relativistic energy eigenvalues and wave functions solutions are also precisely presented.

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Section: Relativistic Bound States Of the Ho In Constant External Fieldsmentioning

confidence: 99%

A charged spinless particle in scalar-vector harmonic oscillators with uniform magnetic and Aharonov-Bohm flux fields

Ikhdair

Falaye

2014

Journal of the Association of Arab Universities for Basic and A

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“…Study on Dirac oscillator as an important potential has attracted a lot of attention and has found many physical applications in various branches of physics [1][2][3][4][5][6]. The Dirac oscillator was introduced for the first time by Itô et al [7], in which the momentum → in Dirac equation is replaced by → − 0→ , where → is the position vector and 0 , , andã re the mass of particle, the frequency of the oscillator, and the usual Dirac matrices, respectively.…”

Section: Introductionmentioning

confidence: 99%

Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

Panahi

Savadi

2017

Advances in High Energy Physics

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Energy spectrum of a 2D Dirac oscillator in the presence of the Aharonov?Bohm effect

Cited by 2 publications

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A charged spinless particle in scalar-vector harmonic oscillators with uniform magnetic and Aharonov-Bohm flux fields

A charged spinless particle in scalar-vector harmonic oscillators with uniform magnetic and Aharonov-Bohm flux fields

Algebraic Approach to Exact Solution of the (2 + 1)-Dimensional Dirac Oscillator in the Noncommutative Phase Space

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